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Finding the Fourth Proportional to 10,618.17, 14,653.94 and 5,902.75

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Solution

The fourth proportional to 10,618.17, 14,653.94 and 5,902.75 is: 8,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.17 : 14,653.94 = 5,902.75 : x
  2. Step 2: Convert to fraction form
    10,618.17/14,653.94 = 5,902.75/x
  3. Step 3: Cross multiply
    10,618.17x = 14,653.94 × 5,902.75
  4. Step 4: Simplify right side
    10,618.17x = 86,498,544.34
  5. Step 5: Solve for x
    x = 86,498,544.34/10,618.17
  6. Step 6: Final answer
    x = 8,146.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.